Algebra 2 Unit 6 Test

11. Factor the polynomial. 125x'3

(5x+3)(25x'2-15x+9)

21. Factor the polynomial. 216x'3-64

(6x-4)(36x'2+24x+16)

7. Choose the best answer. Using the information, what are the roots?

1,1/5,7,7/5

6. Choose the best answer. Using the information, what are the factors of leading coefficient?

1,5

15. Find the composition of the function g(f(x)) F(x)=2x; g(x)=x'2+2x-1

4x'2+4x-1

2. Multiply. (2x+3)(2x'2-6x+7)

4x'3-6x'2-4x+21

5. Choose the best answer. Using the information, what is the factors of constant?

5,1

19. Divide. (6x'3+26x'2+16x-24)/(x+3)

6x'2+8x-8

22. Divide using synthetic division. 5| 8 -38 -16 30

8x'2+2x-6

1. Choose the best answer. The numerators of any rational roots of a polynomial will be the factors of the ___ term.

Constant

13. Choose the best answer. The ___ of a polynomial function is always all real numbers.

Domain

9. Choose the best estimate for the domain and range of the graph of the polynomial function.

Domain: a Range: e

4. Choose the best answer. The graph of the ___ of a polynomial function is the reflection of the graph of the polynomial function over the line y=x

Inverse

16. Choose the best answer. The denominators of any rational roots of a polynomial will be the factors of the ___ coefficient.

Leading

20. Choose the best answer. If the highest exponent of a polynomial function is ___, then the range of the function is always all real numbers.

Odd

3. Choose the best answer. Each number in Pascal's Triangle is the ___ of the two numbers directly above it in the previous row.

Sum

17. Choose the best answer. A shortcut method of dividing a polynomial by a linear polynomial by using only the coefficients of the terms of the polynomial is called ___.

Synthetic Division

14. Apply the horizontal or vertical line test to determine if the inverse of the function, y=x'5, is a function. Is the inverse of the function a function? __________

Yes

12. Use Pascal's Triangle to help find the missing values. x'4-4x'b+6x'2-ax+1

a=4 b=3

10. Find the composition of the function f(g(x)) f(x)=4x'2; g(x)=2x/4

x'2

18. Divide using synthetic division. -3| 1 8 9 -18 ------------------

x'2+5x-6

8. Find the inverse of the function. y=10x'2-4

y=x+4/10